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Finding the Third Proportional to 1,414,168,970 and 3,073,141,972

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Solution

The third proportional to 1,414,168,970 and 3,073,141,972 is: 6,678,269,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,168,970 : 3,073,141,972 = 3,073,141,972 : x
  2. Step 2: Convert to fraction form
    1,414,168,970/3,073,141,972 = 3,073,141,972/x
  3. Step 3: Cross multiply
    1,414,168,970x = 3,073,141,972 × 3,073,141,972
  4. Step 4: Simplify right side
    1,414,168,970x = 9,444,201,580,068,048,896
  5. Step 5: Solve for x
    x = 9,444,201,580,068,048,896/1,414,168,970
  6. Step 6: Final answer
    x = 6,678,269,556.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.